Three-step iterative methods for nonlinear equations

被引:37
|
作者
Noor, Muhammad Aslam [1 ]
Noor, Khalida Inayat [1 ]
机构
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
关键词
three-step methods; convergence; decomposition methods; numerical examples;
D O I
10.1016/j.amc.2006.05.055
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we suggest and analyze a new three-step iterative method for solving nonlinear equations. We show that this new iterative method has third-order convergence. Several numerical examples are given to illustrate the efficiency and performance of the new method. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:322 / 327
页数:6
相关论文
共 50 条
  • [41] On iterative methods for nonlinear equations
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Khan, Waseem Asghar
    Ahmad, Faizan
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) : 128 - 133
  • [42] Convergence and stability of perturbed three-step iterative algorithm for completely generalized nonlinear quasivariational inequalities
    Liu, ZQ
    Kang, SM
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (01) : 245 - 258
  • [43] Three-step predictor-corrector of exponential fitting method for nonlinear Schrodinger equations
    Tang, C
    Zhang, F
    Yan, HQ
    Chen, ZQ
    Luo, T
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 44 (03) : 435 - 439
  • [44] A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots
    Geum, Young Hee
    Kim, Young Ik
    APPLIED MATHEMATICS LETTERS, 2011, 24 (06) : 929 - 935
  • [45] Combination of Optimal Three-Step Composite Time Integration Method with Multi-Point Iterative Methods for Geometric Nonlinear Structural Dynamics
    Shahraki, Mojtaba
    Shahabian, Farzad
    Maghami, Ali
    INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2024, 24 (14)
  • [46] On the Convergence Rate of Three-Step Gradient Methods
    Liu, Ziyi
    Chai, Li
    Liu, Bing
    2020 EUROPEAN CONTROL CONFERENCE (ECC 2020), 2020, : 1789 - 1794
  • [47] Efficient Three-point Iterative Methods for Solving Nonlinear Equations
    Wang, Xiaofeng
    PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON MECHATRONICS, MATERIALS, CHEMISTRY AND COMPUTER ENGINEERING 2015 (ICMMCCE 2015), 2015, 39 : 504 - 507
  • [48] KAPPA-STEP ITERATIVE METHODS FOR SOLVING NONLINEAR-SYSTEMS OF EQUATIONS
    GUTKNECHT, MH
    NIETHAMMER, W
    VARGA, RS
    NUMERISCHE MATHEMATIK, 1986, 48 (06) : 699 - 712
  • [49] Three-step iterative convergence theorems with errors in Banach spaces
    Lin, YC
    TAIWANESE JOURNAL OF MATHEMATICS, 2006, 10 (01): : 75 - 86
  • [50] Three-step iterative algorithms for multivalued quasi variational inclusions
    Noor, MA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 255 (02) : 589 - 604